Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces
Analysis of PDEs
2018-12-07 v2
Abstract
We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is a general model for some anomalous diffusion equations. By using the theory of integral equations with completely positive kernel together with local estimates, some existence, regularity and stability results are established. An application to nonlocal partial differential equations is shown to demonstrate our abstract results.
Keywords
Cite
@article{arxiv.1811.01244,
title = {Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces},
author = {Tran Dinh Ke and Nguyen Nhu Thang and Lam Tran Phuong Thuy},
journal= {arXiv preprint arXiv:1811.01244},
year = {2018}
}